Stabilization for Linear Tracking Systems Subject to Input Constraints with Reference Adjustment

A reference adjustment algorithm is investigated for linear systems with input constraints to guarantee the tracking mission in this paper. The attraction region of the reference is obtained based on the optimal low-and-high controller, for the case that the initial state does not within the attraction region, new references can be chosen by the proposed algorithm. By changing adequately, at each step, the reference to follow such that the tracking mission and the stability of the system can be guaranteed. Numerical simulation is given to show the validity of the theoretical results.